Primes of the form \pm a^2\pm qb^2

Eugen J. Ionascu; Jeff Patterson

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arXiv · 1207.0172

Primes of the form \pm a^2\pm qb^2

Eugen J. Ionascu·Jeff Patterson

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Abstract

Representations of primes by simple quadratic forms, such as $\pm a^2\pm qb^2$, is a subject that goes back to Fermat, Lagrange, Legendre, Euler, Gauss and many others. We are interested in a comprehensive list of such results, for $q\le 20$. Some of the results can be established with elementary methods and we put them at work on some instances. We are introducing new relationships between various representations.

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BibTeX RIS

Eugen J. Ionascu, Jeff Patterson. 2013-04-14. Primes of the form \pm a^2\pm qb^2. https://arxiv.org/abs/1207.0172

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